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FORMULAE FOR CUTTING POWER

FORMULAE FOR CUTTING POWER

CUTTING SPEED (Pc)
Formula 
*Divide by 1000 to change to m from mm.

vc (m/min)

Cutting speed

Dm (mm)

Workpiece Diameter

π (3.14)

Pi

n (min-1)

Main Axis Spindle Speed

Check the item you want to calculate, input values in the two boxes, and then press the Calculate button.
  n (min-1)
  Dm (mm)
  vc (m/min)
  

 
Graphic Image
(Problem)
What is the cutting speed when main axis spindle speed is 700min-1 and external diameter is Ø50? Substitute π=3.14, Dm=50, n=700 into the formula. 
(Answer)
Substitute π =3.14, Dm=50, n=700 into the formula.
vc=(π×Dm×n)÷1000=(3.14×50×700)÷1000 =110 (m/min)
Cutting speed is 110 m/min.

 

 
FEED (f)
Formula

f (mm/rev.)

Feed per revolution

l (mm/min)

Cutting length per Min

n (min-1)

Main Axis Spindle Speed

Check the item you want to calculate, input values in the two boxes, and then press the Calculate button.
  l (mm/min)
  n (min-1)
  f (mm/rev)
 
Graphic Image
(Problem)
What is the feed per revolution when main axis spindle speed is 500min-1 and cutting length per minute is 120mm/min ? 
(Answer)
Substitute n=500, I=120 into the formula.
f=l÷n=120÷500=0.24 (mm/rev)
The answer is 0.24 mm/rev.

 

 
CUTTING TIME (Tc)
Formula

Tc (min.)

Cutting Time

lm (mm)

Workpiece Length

l (mm/min)

Cutting Length per Min.

Input the values
 lm (mm)
 l (mm/min)
  
 Tc (min)
 second (s)
(Problem)
What is the cutting time when 100mm workpiece is machined at 1,000min-1, with feed=0.2mm/rev? 
(Answer)
First, calculate the cutting length per min. from the feed and spindle speed.
l=f×n=0.2×1000=200(mm/min)
Substitute the answer above into the formulae.

Tc=lm÷l=100÷200=0.5(min)
0.5×60=30(sec.) The answer is 30 seconds.

 

 
THEORETICAL FINISHED SURFACE ROUGHNESS (h)
Formula

h (µm)

Finished Surface Roughness

f (mm/rev.)

Feed per Revolution

Re (mm)

Insert Corner Radius

Input the values
 f (mm/rev) 
 Re (mm) 
  
 h (µm)
Graphic Image
(Problem)
What is the theoretical finished surface roughness when the insert corner radius is 0.8mm and feed is 0.2 mm/rev ? 
(Answer)
Substitute f=0.2 mm/rev, R=0.8 into the formulae.
h=f2÷(8×Re)×1000=0.22÷(8×0.8)×1000=6.25µm
The theoretical finished surface roughness is 6 µm.